# Entanglement dynamics of two mesoscopic objects with gravitational interaction

## TL;DR

This paper investigates how two mesoscopic particles can become entangled through gravitational interaction, considering environmental decoherence, and identifies conditions for experimental verification of such entanglement.

## Contribution

It provides a detailed analysis of entanglement dynamics under realistic conditions, including decoherence and fluctuations, and proposes optimal experimental parameters for detecting gravitationally induced entanglement.

## Key findings

- Entanglement develops when coupling is strong.
- Entanglement remains robust against stochastic fluctuations.
- Optimal interaction duration for experiments is identified.

## Abstract

We analyse the entanglement dynamics of the two particles interacting through gravity in the recently proposed experiments aiming at testing quantum signatures for gravity [Phy. Rev. Lett 119, 240401 & 240402 (2017)]. We consider the open dynamics of the system under decoherence due to the environmental interaction. We show that as long as the coupling between the particles is strong, the system does indeed develop entanglement, confirming the qualitative analysis in the original proposals. We show that the entanglement is also robust against stochastic fluctuations in setting up the system. The optimal interaction duration for the experiment is computed. A condition under which one can prove the entanglement in a device-independent manner is also derived.